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Finding the Fourth Proportional to 223,309.85, 308,181.39 and 127,814.36

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Solution

The fourth proportional to 223,309.85, 308,181.39 and 127,814.36 is: 176,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,309.85 : 308,181.39 = 127,814.36 : x
  2. Step 2: Convert to fraction form
    223,309.85/308,181.39 = 127,814.36/x
  3. Step 3: Cross multiply
    223,309.85x = 308,181.39 × 127,814.36
  4. Step 4: Simplify right side
    223,309.85x = 39,390,007,126.76
  5. Step 5: Solve for x
    x = 39,390,007,126.76/223,309.85
  6. Step 6: Final answer
    x = 176,391.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.